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Energy of partial complements of a graph

GOWTHAM H. J.|PRADEEP G. BHAT|SWATI NAYAK|SABITHA DSOUZA
장전수학회 (Jangjeon Mathematical Society)|2019.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제22권 제3호|pp. 369-380|DOI 10.17777/pjms.2019.22.3.002

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참고문헌

키워드

Partial complementsPartial complement energyPartial complement eigenvalues
주제분류수학

초록

The partial complement of a graph G with respect to a set S denoted by G  S is the graph obtained by removing the edges of hSi and adding edges which are not in hSi in G. In this paper we introduce the concept of energy of partial complements of graph and partial complement energy is computed for few classes of graphs. Some bounds are obtained for partial complement energy of a graph G.

Abstract

The partial complement of a graph G with respect to a set S denoted by G  S is the graph obtained by removing the edges of hSi and adding edges which are not in hSi in G. In this paper we introduce the concept of energy of partial complements of graph and partial complement energy is computed for few classes of graphs. Some bounds are obtained for partial complement energy of a graph G.

참고문헌 (19)

  1. C. S. Adiga, "The minimum covering energy of a graph", Kragujevac J. Science, 34, pp.39~56 (2012)
  2. Chandrashekar Adiga, "Colored energy of a graph", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(3), pp.335~351 (2013), 장전수학회
  3. R. B. Bapat, "Graphs and Matrices" (2010), Hindustan Book Agency
  4. R. B. Bapat, "Linear Algebra and Linear Models" (2011), Hindustan Book Agency
  5. R. Balakrishnan, "The energy of a graph", Linear algebra Appl, 387, pp.287~295 (2004)
  6. P. G. Bhat, "COLOR LAPLACIAN ENERGY OF A GRAPH", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(3), pp.321~330 (2015), 장전수학회
  7. X. Chen, "Upper bounds for the signless laplacian spectral radius of graphs on surfaces", Filomat, 30(13), pp.3473~3481 (2016)
  8. , ~
  9. I. Gutman, "The energy of a graph", Ber.Math-Statist.Sekt.Forschungsz.Graz, 103, pp.1~22 (1978)
  10. I. Gutman, "Laplacian energy of a graph", Lin. Algebra Appl, 414, pp.29~37 (2006)
  11. I. Gutman, "Topological studies on heteroconjugated molecules. Alternant systems with one heteroatom", Theor. Chim. Acta, 50, pp.287~297 (1979)
  12. I. Gutman, "Topological studies on heteroconjugated molecules. VI. Alternant systems with two heteroatoms", Z. Naturforsch, 45a, pp.1085~1089 (1990)
  13. I. Gutman, "Note on the Coulson integral formula", J. Math. Chem, 39, pp.259~266 (2006)
  14. H. J. Gowtham, "Laplacian energy of generalised comple-ments of graph", Krag. J. Math, 44(2), pp.219~315 (2018)
  15. I. Z. Milovanovic, "A Short note on Graph Energy", MATH Commun. Math. Comput. Chem, 72, pp.179~182 (2014)
  16. E. Sampathkumar, "Complement of a graph: A Generalization", Graphs and Combinatorics, 14, pp.377~392 (1998)
  17. E. Sampatkumar, "Generalised complements of a graph", Indian J.pure appl.Math, 29, pp.625~639 (1998)
  18. J. Zhang, "Graphs with Extremal Incidence Energy", Filomat, 29(6), pp.1251~1258 (2015)
  19. B. Zhou, "The energy of a graph", MATCH Commun. Math. Comput. Chem, 51, pp.111~118 (2004)

관련 논문AI추천

SEIDEL ENERGY OF GENERALIZED COMPLEMENTS OF GRAPHSDEVADAS NAYAK C., GIRIJA K. P., GOWTHAM H. J., PRADEEP G. BHAT, SABITHA D'SOUZA장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제4호Colored energy of a graphChandrashekar Adiga, E. Sampathkumar, M. A. Sriraj, Shrikanth A S장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호Partition energy of complete product of circulant graphs and some new class of graphsE. Sampathkumar, K. A. Vidya, M. A. Sriraj, S. V. Roopa장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호Partition energy of a graphE. Sampathkumar, K. A. Vidya, M. A. Sriraj, S. V. Roopa장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호Average degree exponent sum energy of graphsM. Smitha, V. Lokesha, Y. Shanthakumari장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제3호Minimum boundary dominating partition energy of certain graphsK. N. PRAKASHA, P. S. HEMAVATHI장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제2호

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